January 11-15, 2106

Solving Two Step Equations

MY HOMEWORK

Monday: algebra tile

worksheet

Tuesday: Tape Diagram

Worksheet

Wednesday: Solving

Equations algebraically

Worksheet

Thursday: Homework

practice worksheet

Friday: Quiz

No homework

7.EE.4a

I CAN solve word problems leading to equations of the form

px + q = r and p(x + q) = r, where p, q, and r are specific

rational numbers.

I CAN solve equations of these forms fluently.

I CAN compare an algebraic solution to an arithmetic solution, identifying

the sequence of the operations used in each approach MY VOCABULARY

Inverse

operations Operations that undo each

other´s effect.

For example, addition and

subtraction are inverse

operations. So are multiplication

and division.

Distributive

property The distributive property states

that multiplying a sum by a

number gives the same result as

multiplying each addend by the

number and then adding the

products together.

4 × (2 + 3) = 4 × 2 + 4 × 3

NAME______________________________________________

BELL RINGERS

Complete the Bell Ringer from the board

MONDAY TUESDAY

WEDNESDAY THURSDAY

Solving Two Step Equations with Algebra Tiles

2x + 5 = 13

4x – 3 = 9

-x + 5 = 1

3(x + 2) = 15

2 ( 2x -1) = 10

Remember:

1 = x =

-1 = -x =

Solving Two Step Equations with Algebra Tiles

Homework (Monday)

2x +1 = 5 3x + 2 = 11

4x + 3 = -5 2x – 1 = 7

5x – 2 = -7 3x – 4 = 5

2x – 3 = 15 3(x – 5) = 9

3x – 2 = -8 2(x + 2) = -8

Solving Two Step Equations with Tape Diagrams

EXAMPLES:

1. 4y + 1 = 13 2. 6x + 2 = 26

3. –3 = 5k + 7 4.2

3 n + 4 = –-26

5. 7 = –3c – 2 6. –8p + 3 = –29

7. –5 = –5(t + 1) 8. –3(3r + 4) = –24

10. 63 = 7 (1+ 4b) 11. 4

5 (p - 10) = 8

Solving Two Step Equations with Tape Diagrams

HOMEWORK (TEUSDAY)

1. 2x + 1 = 9 2. 5b + 2 = 17

3. 3w + 5 = 23 4. 3

8 n + 1 = –25

5. 2(2t – 1) = 20 6. 7k – 3 = 32

7. 8x – 1 = 63 8. 5(2x – 1) = 35

9. 1

6 (a+ 12) = –4 10. 9 + 4b = 17

Solving Two Step Equations Algebraically

Two step equations are equations that can be solved in to steps. One step is to

undo the addition or subtraction, the other is to undo the multiplication or

division.

EXAMPLE:

3w + 5 = 23

2x + 3 = 9

STEPS 3x + 2 = 23 STEPS

-2y – 7 = 3

STEPS 4 + 2

5r = -2 STEPS

Some two step equations can be solved more than one way!

EXAMPLE:

Method 1

2(w + 3) = 14

Method 2

2(w + 3) = 14

2(x + 3) = 10 STEPS 2(x + 3) = 10 STEPS

3(2y – 3) = -33 STEPS 3(2y – 3) = -33 STEPS

1

4(8x + 12)=7 STEPS 1

4(8x + 12)=7 STEPS

Solving Two Step Equations Algebraically

HOMEWORK (WEDNESDAY)

Solve each equation algebraically. SHOW ALL WORK!!!!

For # 1 – 5 explain each step.

1. 2x + 1 = 9 2. 5b + 2 = 17

3. 3w + 5 = 23 4. 3

8 n + 1 = –25

5. 4t – 2 = 14

6. 7k – 3 = 32 7. 8x – 1 = 63

8. 2x – 5 = 15 9. 2 + 1

6 a = –4

10. 9 + 4b = 17 11. 2p + 14 = 0

12. 3y + 2

5= −

1

5 13. −

2

3 w + 5 = 4

14. 8x + 7 = –9 15. 5d – 1 = –11

Solving Two Step Equations Algebraically

Checking your work

Solve each equation. Check your solution.

1. 2x + 1 = 9

2. 5b + 2 = 17

3. 3w + 5 = 23

4. 3

8 n + 1 = –25

5. 4t – 2 = 14

Homework Practice (Thursday)

Solve Two-Step Equations

Solve each equation. Check your solution.

1. 4ℎ + 6 = 30 2. 2

7𝑦 + 5 = −9

3. −3𝑡 + 6 = 0 4. −8 + 8𝑔 = 56

5. 5𝑘 − 7 = −7 6. 19 + 13𝑥 = 32

7. −1

5𝑏 −

2

5= −2 8. 1𝑛 + 1 = 11

9. 3

4𝑓 + 5 = −5 10. 5𝑑 − 3.3 = 7.2

11. 3 = 0.2𝑚 − 7 12. 1.3𝑧 + 1.5 = 5.4

13. KITTENS: Kittens weigh about 100 grams when born and gain 7 to 15 grams

per day. If a kitten weighed 100 grams at birth and gained 8 grams per day,

in how many days will the kitten triple its weight?

14. TEMPERATURE: Room temperature ranges from 20°C to 25°C. Find the

range of room temperature in °F. Use the formula F – 32 = 1.8C to convert

from the Celsius scale to the Fahrenheit scale.